12332121001200 has 4320 divisors, whose sum is σ = 61226238894912. Its totient is φ = 2257403904000.

The previous prime is 12332121001183. The next prime is 12332121001231. The reversal of 12332121001200 is 210012123321.

12332121001200 is a `hidden beast` number, since 1 + 2 + 332 + 1 + 210 + 0 + 120 + 0 = 666.

12332121001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 68133265110 + ... + 68133265290.

Almost surely, 2^{12332121001200} is an apocalyptic number.

12332121001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332121001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30613119447456).

12332121001200 is an abundant number, since it is smaller than the sum of its proper divisors (48894117893712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12332121001200 is a wasteful number, since it uses less digits than its factorization.

12332121001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12332121001200 its reverse (210012123321), we get a palindrome (12542133124521).

The spelling of 12332121001200 in words is "twelve trillion, three hundred thirty-two billion, one hundred twenty-one million, one thousand, two hundred".